The inequality that can be used to determine the maximum number of outfits Tariq can purchase while staying within his budget is:
640 - 291.24 - (4 * 19.56) - 16.52 - (50.80 * x) ≥ 0
Simplifying the inequality:
640 - 291.24 - 78.24 - 16.52 - 50.80x ≥ 0
254.00 - 50.80x ≥ 0
To solve for x, we isolate the variable:
50.80x ≤ 254.00
x ≤ 254.00 / 50.80
x ≤ 5
Therefore, Tariq can purchase a maximum of 5 biking outfits while staying within his budget.
Tariq has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $291.24.
He buys 4 bicycle reflectors for $19.56 each and a pair of bike gloves for $16.52.
He plans to spend some or all of the money he has left to buy new biking outfits for $50.80 each.
Write and solve an inequality which can be used to determine
x, the number of outfits Tariq can purchase while staying within his budget.
Answer
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